Consider the system 12x + 7y+ 3z=22 x+5y+z=7 2x+7y-112=-2 with initial guess (1,2,1). Using Gauss-Seidel method, determine the absolute realtive approximate error for z in the third iteration. 3.2564% 0.14660% 1.6322% 4.9727%

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Consider the system
12x + 7y+ 3z=22
x+5y+z=7
2x+7y-112=-2
with initial guess (1,2,1). Using Gauss-Seidel method, determine the absolute realtive approximate error for z in the third iteration.
3.2564%
0.14660%
1.6322%
4.9727%
Transcribed Image Text:Consider the system 12x + 7y+ 3z=22 x+5y+z=7 2x+7y-112=-2 with initial guess (1,2,1). Using Gauss-Seidel method, determine the absolute realtive approximate error for z in the third iteration. 3.2564% 0.14660% 1.6322% 4.9727%
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,